Yes, you can just order a credit check.
The cost of a credit check is $14.95 if you're just ordering a credit check.
If you add it onto an order it only costs $9.95 for the add-on.
Also, the additional information provided on the background check can help explain credit situations. For example a credit check may only reveal that there are public records/judgments filed with no details, but the background check will provide the dates, dollar amounts and creditor information in full.